Finding the Fourth Proportional to 10,017.06, 13,824.82 and 5,824.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,017.06 : 13,824.82 = 5,824.50 : x
2. Step 2: Convert to fraction form
   10,017.06/13,824.82 = 5,824.50/x
3. Step 3: Cross multiply
   10,017.06x = 13,824.82 × 5,824.50
4. Step 4: Simplify right side
   10,017.06x = 80,522,664.09
5. Step 5: Solve for x
   x = 80,522,664.09/10,017.06
6. Step 6: Final answer
   x = 8,038.55